'integral commitment' is a correct and usable phrase in written English.
You can use this phrase when you are referring to a firm, dedicated commitment to something. For example, "Their integral commitment to the project ensured its success."
The integral commitment of the site to integrative negotiation (ie biasing towards settlement) is philosphically acceptable (and, indeed, desirable) provided that sufficient exit routes are signposted eg where, in a matrimonial case, there is a threat of violence.
Rebuilding societies after kleptocratic rule requires an integral commitment to rule of law, both against corruption and human rights abuses.
For higher education leaders, it begins with making several commitments integral to garnering the trust of policymakers and the public.
The International Automobile Federation, the sport's governing body, has been integral to Formula One's commitment to improving safety standards.
It also was an integral part of the commitment U.S. officials made as part of a historic international climate accord signed in late 2015 in Paris, from which Trump has said he intends to withdraw.
Henchy was involved in the creation of the website and is integral in its ongoing commitment to showcase the best comedy on the web.
They believe that business leaders' advocacy and public commitment will be integral to further progress.
Rather than his years at high school, Glinn cited his parents' political commitment as an integral part of his formation.
The mentorship of current and future trainees who can tackle cancer-related problems with computational systems biology approaches is an integral part of fulfilling our commitment to catalyze and generate new bodies of knowledge and fields of cancer study.
But company chairman Jean-René Fourtou has signalled Vivendi remains committed to a deal signed off by the whole board, and told Universal Music chief Lucian Grainge last Friday that the potential combination "is an integral part of Vivendi's commitment to excellence in the field of creative content".
So although salvation ultimately comes about through grace, actions are an integral part and demonstrate the commitment to Christ and our fellow human beings.
